1012431440 has 40 divisors (see below), whose sum is σ = 2398326408. Its totient is φ = 397329920.

The previous prime is 1012431419. The next prime is 1012431461. The reversal of 1012431440 is 441342101.

It is an interprime number because it is at equal distance from previous prime (1012431419) and next prime (1012431461).

It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 1009205824 = 1796^2 + 31768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115151 + ... + 123630.

Almost surely, 2^1012431440 is an apocalyptic number.

1012431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012431440 is an abundant number, since it is smaller than the sum of its proper divisors (1385894968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012431440 is a wasteful number, since it uses less digits than its factorization.

1012431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238847 (or 238841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1012431440 is about 31818.7278186919. The cubic root of 1012431440 is about 1004.1267597608.

Adding to 1012431440 its reverse (441342101), we get a palindrome (1453773541).

The spelling of 1012431440 in words is "one billion, twelve million, four hundred thirty-one thousand, four hundred forty".